Finding the Third Proportional to 89,410.50 and 194,199

Step by Step Solution

1. Step 1: Write the proportion equation
   89,410.50 : 194,199 = 194,199 : x
2. Step 2: Convert to fraction form
   89,410.50/194,199 = 194,199/x
3. Step 3: Cross multiply
   89,410.50x = 194,199 × 194,199
4. Step 4: Simplify right side
   89,410.50x = 37,713,251,601
5. Step 5: Solve for x
   x = 37,713,251,601/89,410.50
6. Step 6: Final answer
   x = 421,798.91